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Exact supersymmetry in the nonrelativistic hydrogen atom

1993/04/21 by R. D. Tangerman, J. A. Tjon · 1 citation
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #hep-th

paper · pdf · doi:10.1103/physreva.48.1089

15 pages

arxiv created 1993/04/21 · openalex publication_date 1993/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a Pauli particle in a Coulomb field. The supersymmetric Hamiltonian is constructed by explicitly giving the two supercharges Q1 and Q2 in the full three-dimensional space. These, together with the Hamiltonian, are shown to constitute an s(2) superalgebra. This offers an alternative way of grouping the energy eigenstates into irreducible representations of this symmetry group of the Hamiltonian.

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